Eigenvalue Intervals for Two-point General Third Order Differential Equation by K. R. Prasad, A. Kameswara Rao and P. Murali
نویسندگان
چکیده
Values of the parameter λ are determined for which there exist positive solutions to the third order eigenvalue problem satisfying general two-point boundary conditions. We establish the results by applying cone theory and the Krasnosel’skii fixed point theorem.
منابع مشابه
Multiple positive solutions for nonlinear third order general two-point boundary value problems
We consider the existence of positive solutions and multiple positive solutions for the third order nonlinear differential equation subject to the general two-point boundary conditions using different fixed point theorems.
متن کاملEigenvalue Intervals for the Existence of Positive Solutions to System of Multi-Point Fractional Order Boundary Value Problems
We determine eigenvalue intervals of λ1 and λ2 for the existence of at least one positive solution for a coupled system of Riemann–Liouville type multi-point fractional order boundary value problems by utilizing a fixed point theorem on a cone under suitable conditions.
متن کاملMultiple Positive Solutions for the System of Higher Order Two-Point Boundary Value Problems on Time Scales
In this paper, we establish the existence of at least three positive solutions for the system of higher order boundary value problems on time scales by using the well-known Leggett-Williams fixed point theorem. And then, we prove the existence of at least 2k-1 positive solutions for arbitrary positive integer k.
متن کاملVibration of Road Vehicles with Non linear Suspensions
In order to investigate the effects of non-linear springs in vibrating behavior of vehicles, the independent suspension of conventional vehicles could be modeled as a non-linear single degree of freedom system. The equation of motion for the system would be a non-linear third order ordinary differential equation, when considering the elasticity of rubber bushings in joints of shock absorber. It...
متن کاملHAAR WAVELET AND ADOMAIN DECOMPOSITION METHOD FOR THIRD ORDER PARTIAL DIFFERENTIAL EQUATIONS ARISING IN IMPULSIVE MOTION OF A AT PLATE
We present here, a Haar wavelet method for a class of third order partial dierentialequations (PDEs) arising in impulsive motion of a flat plate. We also, present Adomaindecomposition method to find the analytic solution of such equations. Efficiency andaccuracy have been illustrated by solving numerical examples.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010